This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A068508 #23 Mar 18 2024 09:50:58 %S A068508 1,1,1,2,3,5,4,3,1,1,1,2,3,5,4,3,1,1,1,2,3,5,4,3,1,1,1,2,3,5,4,3,1,1, %T A068508 1,2,3,5,4,3,1,1,1,2,3,5,4,3,1,1,1,2,3,5,4,3,1,1,1,2,3,5,4,3,1,1,1,2, %U A068508 3,5,4,3,1,1,1,2,3,5,4,3,1,1,1,2,3,5,4,3,1,1,1,2,3,5,4,3,1,1,1,2,3,5,4,3,1 %N A068508 a(n) = round((a(n-1) + a(n-2))/a(n-3)) starting with a(1)=a(2)=a(3)=1. %C A068508 While this sequence has period 8, the unrounded version b(n) = (b(n-1) + b(n-2))/b(n-3) seems to have a quasi-period of about 8.7 for this particular starting point. %C A068508 The unrounded version b(n) = A185332(n) / A185341(n) as given in A205303 has 8.694171... quasi-period. - _Michael Somos_, Oct 22 2018 %H A068508 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,1). %F A068508 a(n) = a(n-8). %e A068508 a(7) = round((a(6) + a(5))/a(4)) = round((5+3)/2) = 4. %Y A068508 Cf. A048112, A185332, A185341, A205303. %K A068508 nonn,easy %O A068508 1,4 %A A068508 _Henry Bottomley_, Mar 25 2002